n!n!n! or nnn-factorial is the product of all integers from 111 up to nnn (n!=1×2×3×...×n)(n! = 1 \times 2 \times 3 \times ... \times n)(n!=1×2×3×...×n). Find the maximum integral value of kkk such that 2014k2014^k2014k divides 2014!2014!2014!
You may also try this problem: Divisible by this year???
This problem is part of the set "Symphony"